811244388864 has 1440 divisors, whose sum is σ = 2950294026240. Its totient is φ = 196903010304.

The previous prime is 811244388833. The next prime is 811244388901. The reversal of 811244388864 is 468883442118.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 13749904867 + ... + 13749904925.

It is an arithmetic number, because the mean of its divisors is an integer number (2048815296).

Almost surely, 2^811244388864 is an apocalyptic number.

811244388864 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 811244388864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1475147013120).

811244388864 is an abundant number, since it is smaller than the sum of its proper divisors (2139049637376).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

811244388864 is a wasteful number, since it uses less digits than its factorization.

811244388864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 154 counting only the distinct ones).

The product of its digits is 9437184, while the sum is 57.

The spelling of 811244388864 in words is "eight hundred eleven billion, two hundred forty-four million, three hundred eighty-eight thousand, eight hundred sixty-four".